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Question

A test cross of F1 files +a/ +b produced the following offspring
++/ab = 9
ab/ab = 9
+b/ab = 41
a+/ab = 41

What will be distance between linked gene?

A
82 cM
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B
18 cM (cis)
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C
20 cM
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D
18 cM (trans)
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Solution

The correct option is D 18 cM (trans)
Since, recombination frequency is directly proportional to distance between genes, the values are used to locate genes on a chromosome. Here, the parental genotype is +a/+b. Presence of both wild type and mutant alleles of a gene on the same chromosome is known as trans arrangement. Here, the genes are in trans arrangement which makes options B wrong. The hybrid parent produce four gametes: two parental types (+a and +b) and two recombinants (++ and ab) which in turn produce four genotypes upon testcross: two parental types (+a/ab and +b/ab) and two recombinants (++/ab and ab/ab). Total number of recombinants= 9+9=18 which means that genes are 18cM (trans) apart from each other; option D is the correct answer.

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